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Finding the Fourth Proportional to 12,273.12, 18,382.56 and 6,996

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Solution

The fourth proportional to 12,273.12, 18,382.56 and 6,996 is: 10,478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,273.12 : 18,382.56 = 6,996 : x
  2. Step 2: Convert to fraction form
    12,273.12/18,382.56 = 6,996/x
  3. Step 3: Cross multiply
    12,273.12x = 18,382.56 × 6,996
  4. Step 4: Simplify right side
    12,273.12x = 128,604,389.76
  5. Step 5: Solve for x
    x = 128,604,389.76/12,273.12
  6. Step 6: Final answer
    x = 10,478.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.